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Simplifying -1(7x + 2) + -1(-6x + -7) = 2 Reorder the terms: -1(2 + 7x) + -1(-6x + -7) = 2 (2 * -1 + 7x * -1) + -1(-6x + -7) = 2 (-2 + -7x) + -1(-6x + -7) = 2 Reorder the terms: -2 + -7x + -1(-7 + -6x) = 2 -2 + -7x + (-7 * -1 + -6x * -1) = 2 -2 + -7x + (7 + 6x) = 2 Reorder the terms: -2 + 7 + -7x + 6x = 2 Combine like terms: -2 + 7 = 5 5 + -7x + 6x = 2 Combine like terms: -7x + 6x = -1x 5 + -1x = 2 Solving 5 + -1x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 2 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 2 + -5 -1x = 2 + -5 Combine like terms: 2 + -5 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3
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